9. The value of k for which x – 1 is a factor of the polynomial 4x3+ 3x2 – 4x + k is :- 6 0 -3 -9

10. The value of k for which x + 1 is a factor of the polynomial x3 + x2 + x + k is :- -1 4 0 1

Class 9 Polynomials Quiz -1

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Question 1 of 10

1. Question

A cubic polynomial is a polynomial with degree

0

1

2

3

Correct

A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form f(x) = a3 x3 + a2 x2 + a1 x + a0. An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation

Incorrect

Question 2 of 10

2. Question

A polynomial of degree 5 in x has at most

6 terms

5 terms

4 terms

1 terms

Correct

A polynomial of degree 5 is of the form , where a, b, c, d, e, and f are real numbers and a ≠ 0.

Thus, p(x) can have at most 6 terms and at least one term containing.

Incorrect

A polynomial of degree 5 is of the form , where a, b, c, d, e, and f are real numbers and a ≠ 0.

Thus, p(x) can have at most 6 terms and at least one term containing.

Question 3 of 10

3. Question

The coefficient of x3 in the polynomial 5 + 2x + 3x2– 7x3 is

5

3

-7

2

Correct

Incorrect

Question 4 of 10

4. Question

The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is

x2 – 5x – 3

x2 + x – 1

x2 – 4x – 2

x2 – 3x – 2

Correct

Incorrect

Question 5 of 10

5. Question

A linear polynomial :-

May have more than one zero

Has one and only one zero always

May have no zero

May have one zero

Correct

A number of zeroes of an n -degree polynomial = n.
First, a linear polynomial is in the form of ax + b, a≠0, a,b ∈R
The degree of the polynomial = highest degree of the terms
So here the highest degree is 1.
Hence, Linear polynomial has only one zero.

Incorrect

A number of zeroes of an n -degree polynomial = n.
First, a linear polynomial is in the form of ax + b, a≠0, a,b ∈R
The degree of the polynomial = highest degree of the terms
So here the highest degree is 1.
Hence, Linear polynomial has only one zero.

Question 6 of 10

6. Question

If x + y = 3, x2 + y2 = 5 then xy is

6

2

3

4

Correct

Incorrect

Question 7 of 10

7. Question

When the polynomial x3 + 3x2 + 3x + 1 is divided by x + 1, the remainder is :-

5

- 6

0

1

Correct

Incorrect

Question 8 of 10

8. Question

If the polynomial 2x3 – 3x2 + 2x – 4 is divided by x – 2, then the remainder is :-

8

-12

4

0

Correct

Incorrect

Question 9 of 10

9. Question

The value of k for which x – 1 is a factor of the polynomial 4x3+ 3x2 – 4x + k is :-

6

0

- 3

-9

Correct

Incorrect

Question 10 of 10

10. Question

The value of k for which x + 1 is a factor of the polynomial x3 + x2 + x + k is :-